Question

1. which of the following statements uses the given simple sentences below and the logic statement $p \vee q$?

$p=$\that clock is slow.\
$q=$\the time is correct.\
\bigcirc that clock is slow, or the time is correct.
\bigcirc the clock is slow, but the time is correct.
\bigcirc the clock is slow if and only if the time is correct.
\bigcirc the clock is slow, and the time is correct.

Explanation:

In logic, the symbol $\vee$ represents the "or" operation. So $p \vee q$ means "p or q". Here, $p$ is "That clock is slow" and $q$ is "The time is correct", so $p \vee q$ translates to "That clock is slow, or the time is correct". The other options use different logical connectives: "but" (which is equivalent to "and" in logic for this context), "if and only if", and "and", which do not correspond to $\vee$.

Answer:

A. That clock is slow, or the time is correct.